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Finding the Fourth Proportional to 119.61, 178.41 and 109.11

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Solution

The fourth proportional to 119.61, 178.41 and 109.11 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.61 : 178.41 = 109.11 : x
  2. Step 2: Convert to fraction form
    119.61/178.41 = 109.11/x
  3. Step 3: Cross multiply
    119.61x = 178.41 × 109.11
  4. Step 4: Simplify right side
    119.61x = 19,466.32
  5. Step 5: Solve for x
    x = 19,466.32/119.61
  6. Step 6: Final answer
    x = 162.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.